Conserved charges and asymptotic symmetries of BTZ-like black holes in Einstein-bumblebee gravity
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914012325740544 |
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| author | Ding, Hai-Feng |
| author_facet | Ding, Hai-Feng |
| contents | Using the solution phase space method, we investigate the conserved charges of BTZ-like black holes in Einstein-bumblebee gravity. Our study shows that the black hole mass, angular momentum and entropy are influenced by the Lorentz-violating parameter. Through the study of the AdS/CFT correspondence, we derive the asymptotic charge algebra, which consists of two copies of the Virasoro algebra with non-trivial central charges. By employing the Cardy formula, we calculate the microscopic entropy of dual conformal field theory, which precisely matches with the Bekenstein-Hawking entropy. Furthermore, by imposing the Detournay-Smoes-Wutte boundary conditions in the near horizon geometry of the extremal BTZ-like black hole, we obtain a Virasoro-Kac-Moody $\mathrm{U(1)}$ algebra, representing the symmetry algebra of a warped conformal field theory. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_13985 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Conserved charges and asymptotic symmetries of BTZ-like black holes in Einstein-bumblebee gravity Ding, Hai-Feng High Energy Physics - Theory General Relativity and Quantum Cosmology Using the solution phase space method, we investigate the conserved charges of BTZ-like black holes in Einstein-bumblebee gravity. Our study shows that the black hole mass, angular momentum and entropy are influenced by the Lorentz-violating parameter. Through the study of the AdS/CFT correspondence, we derive the asymptotic charge algebra, which consists of two copies of the Virasoro algebra with non-trivial central charges. By employing the Cardy formula, we calculate the microscopic entropy of dual conformal field theory, which precisely matches with the Bekenstein-Hawking entropy. Furthermore, by imposing the Detournay-Smoes-Wutte boundary conditions in the near horizon geometry of the extremal BTZ-like black hole, we obtain a Virasoro-Kac-Moody $\mathrm{U(1)}$ algebra, representing the symmetry algebra of a warped conformal field theory. |
| title | Conserved charges and asymptotic symmetries of BTZ-like black holes in Einstein-bumblebee gravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2504.13985 |